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Finding the Fourth Proportional to 23,057.67, 34,542.77 and 13,677.87

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Solution

The fourth proportional to 23,057.67, 34,542.77 and 13,677.87 is: 20,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.67 : 34,542.77 = 13,677.87 : x
  2. Step 2: Convert to fraction form
    23,057.67/34,542.77 = 13,677.87/x
  3. Step 3: Cross multiply
    23,057.67x = 34,542.77 × 13,677.87
  4. Step 4: Simplify right side
    23,057.67x = 472,471,449.11
  5. Step 5: Solve for x
    x = 472,471,449.11/23,057.67
  6. Step 6: Final answer
    x = 20,490.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.